Business The table shows the net numbers of new stores opened by H&M from 2011 through 2015. (a) Construct a bar graph showing the annual net numbers of new stores opened by H&M from 2011 through 2015. (b) Find the n th term a n of an arithmetic sequence that approximates the data. Let n represent the year, with n = 1 corresponding to 2011. (Hint: Use the average change per year for d . ) (c) Use a graphing utility to graph the terms of the finite sequence you found in part (b). (d) Use summation notation to represent the total number of new stores opened from 2011 through 2015. Use this sum to approximate the total number of new stores opened during these years.
Business The table shows the net numbers of new stores opened by H&M from 2011 through 2015. (a) Construct a bar graph showing the annual net numbers of new stores opened by H&M from 2011 through 2015. (b) Find the n th term a n of an arithmetic sequence that approximates the data. Let n represent the year, with n = 1 corresponding to 2011. (Hint: Use the average change per year for d . ) (c) Use a graphing utility to graph the terms of the finite sequence you found in part (b). (d) Use summation notation to represent the total number of new stores opened from 2011 through 2015. Use this sum to approximate the total number of new stores opened during these years.
Solution Summary: The author explains how to calculate the nth term of the arithmetic sequence that approximates the data.
Business The table shows the net numbers of new stores opened by H&M from 2011 through 2015.
(a) Construct a bar graph showing the annual net numbers of new stores opened by H&M from 2011 through 2015.
(b) Find the
n
th
term
a
n
of an arithmetic sequence that approximates the data. Let
n
represent the year, with
n
=
1
corresponding to 2011. (Hint: Use the average change per year for
d
.
)
(c) Use a graphing utility to graph the terms of the finite sequence you found in part (b).
(d) Use summation notation to represent the total number of new stores opened from 2011 through 2015. Use this sum to approximate the total number of new stores opened during these years.
1) Express these large and small numbers from the Read and Study section in scientific
notation:
(a) 239,000 miles
(b) 3,800,000,000,000 sheets of paper
(c) 0.0000000000000000000000167 grams
2) Find all values for the variable x that make these equations true.
(a) 5x = 1
(b) 3x = 1/1
9
(c) 4* = 11/
4
(e) 4* = 64
(g) 10x = 1,000,000
(d) 3x=-3
(f) 2x =
=
8
(h) 10x = 0.001
(b)
4) Find an equation to fit each of the following graphs:
(a)
20
20
18
16
14
12
10
8
6
4
2
24
22
20
18
16
14
12
10
8
16
A
2
-3 -2
-1-0
2
3
4.
-1
0
1
2
3.
-2
-2
3) Which of the following are equivalent to 3? (There may be more than one that is
equivalent!)
-1
(a) (9)¯¹
3.
(b) (-3)-1
(c) (-3)
-1
(d) -(¯3)
(e) 11
3-1
(f) 3-4
Chapter 8 Solutions
College Algebra Real Mathematics Real People Edition 7
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